SOME NEW RESULTS ON WEIGHTED GRAND LORENTZ SPACES

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Eryılmaz İ.

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, cilt.87, sa.2, ss.67-76, 2025 (SCI-Expanded, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 87 Sayı: 2
• Basım Tarihi: 2025
• Dergi Adı: UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
• Sayfa Sayıları: ss.67-76
• Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

The concept of Lebesgue space has been generalized to the grand Lebesgue space with non-weight and weight, and the classical Lorentz space concept has been generalized to grand Lorentz spaces with a similar logic in literature. In this study, instead of using rearrangement function of a measurable function, weighted grand Lorentz spaces are defined by using the maximal function for 1 <= p, q <= infinity. In addition, being Banach function space and some inclusion properties in weighted grand Lorentz spaces are investigated.